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Why is (n-1)(n+1)=n^2-1?

13.06.2025 23:55

Why is (n-1)(n+1)=n^2-1?

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The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2

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Why did my ex move on so fast, we have only been broken up for 2 weeks?

And you are left with almost a square. One less than the square of side n.

n^2 - n + n - 1

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Why do some people dislike rap and hip hop music despite there being poor quality music in every genre?

Move the nub up to the top:

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Does meth make women super horny like it does men?

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So, that’s a rectangle with sides 2 and 4.

Who is the most annoying character in the Office?

If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2

(n - 1)(n + 1)

n^2 - 1

Are there any examples of outdated values in the Bible?

The basic answer is that you cross-multiply the values in each factor: